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Finding the Fourth Proportional to 648.41, 971.06 and 355.48

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Solution

The fourth proportional to 648.41, 971.06 and 355.48 is: 532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 971.06 = 355.48 : x
  2. Step 2: Convert to fraction form
    648.41/971.06 = 355.48/x
  3. Step 3: Cross multiply
    648.41x = 971.06 × 355.48
  4. Step 4: Simplify right side
    648.41x = 345,190.87
  5. Step 5: Solve for x
    x = 345,190.87/648.41
  6. Step 6: Final answer
    x = 532.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.